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Results tagged with local-systems
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user 18060
2
votes
Accepted
Monodromic but not equivariant sheaves and Braden's theorem
Any $\mathbb G_m$-invariant stratification such that the natural map from the fundamental group of $\mathbb G_m$ to the fundamental group of each stratum is trivial has the property that objects cons …
- 148k
9
votes
Accepted
Are equivariant perverse sheaves constructible with respect to the orbit stratification?
Every complex of sheaves has a unique maximal open subset on which it is locally constant, because if it is locally constant on two open sets, it is locally constant on their union.
Let $U$ be then ma …
- 148k
2
votes
Accepted
Flatness of "derived local system sheaves"
Let me first give a simple answer to a related question: If you want to make a sheaf whose value at a point $x$ is $H^1( G_S, \mathcal F_x)$, this won't work and a useful such sheaf cannot be construc …
- 148k